j^2-6j=0

Solution for j^2-6j=0 equation:

Simplifying
j2 + -6j = 0

Reorder the terms:
-6j + j2 = 0

Solving
-6j + j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'j'.
j(-6 + j) = 0

Subproblem 1
Set the factor 'j' equal to zero and attempt to solve:

Simplifying
j = 0

Solving
j = 0

Move all terms containing j to the left, all other terms to the right.

Simplifying
j = 0
Subproblem 2
Set the factor '(-6 + j)' equal to zero and attempt to solve:

Simplifying
-6 + j = 0

Solving
-6 + j = 0

Move all terms containing j to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + j = 0 + 6

Combine like terms: -6 + 6 = 0
0 + j = 0 + 6
j = 0 + 6

Combine like terms: 0 + 6 = 6
j = 6

Simplifying
j = 6
Solution
j = {0, 6}